The perimeter of the sector of the circle = 52.3 cm
Using the formula for the perimeter of the sector of a circle.
Formula = radius + radius + arc length
But arc length = (θ/360) × 2πr
∴ Perimeter = 2r + (θ/360) × 2πr
where,
r = 12 cm
θ = 135°
π = 22/7 (a constant0
Substituting the figures into the formula,
∴ Perimeter = (2 × 12) + (135/360) × (2 × 22/7 × 12)
= 24 + (0.375 × 75.4)
= 24 + 28.3
= 52.3 cm
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